diff --git a/src/plugins/debugger/dap/cmakedapengine.cpp b/src/plugins/debugger/dap/cmakedapengine.cpp
index 3e7a23cb243..769fe248238 100644
--- a/src/plugins/debugger/dap/cmakedapengine.cpp
+++ b/src/plugins/debugger/dap/cmakedapengine.cpp
@@ -9,6 +9,7 @@
 
 #include <debugger/debuggermainwindow.h>
 
+#include <utils/mimeutils.h>
 #include <utils/temporarydirectory.h>
 
 #include <projectexplorer/buildconfiguration.h>
@@ -23,6 +24,11 @@
 using namespace Core;
 using namespace Utils;
 
+namespace {
+const char CMAKE_MIMETYPE[] = "text/x-cmake";
+const char CMAKE_PROJECT_MIMETYPE[] = "text/x-cmake-project";
+} // namespace
+
 namespace Debugger::Internal {
 
 class LocalSocketDataProvider : public IDataProvider
@@ -144,7 +150,8 @@ void CMakeDapEngine::setupEngine()
 
 bool CMakeDapEngine::acceptsBreakpoint(const BreakpointParameters &bp) const
 {
-    return bp.fileName.endsWith(".txt") || bp.fileName.endsWith(".cmake");
+    const auto mimeType = Utils::mimeTypeForFile(bp.fileName);
+    return mimeType.matchesName(CMAKE_MIMETYPE) || mimeType.matchesName(CMAKE_PROJECT_MIMETYPE);
 }
 
 bool CMakeDapEngine::hasCapability(unsigned cap) const
@@ -153,7 +160,7 @@ bool CMakeDapEngine::hasCapability(unsigned cap) const
                   | BreakConditionCapability
                   | ShowModuleSymbolsCapability
                   /*| AddWatcherCapability*/ // disable while the #25282 bug is not fixed
-                  /*| RunToLineCapability*/); // disable while the #25176 bug is not fixed
+                  | RunToLineCapability);
 }
 
 const QLoggingCategory &CMakeDapEngine::logCategory()
diff --git a/src/plugins/debugger/dap/dapengine.cpp b/src/plugins/debugger/dap/dapengine.cpp
index e71c2aa4c9f..5c6de71777d 100644
--- a/src/plugins/debugger/dap/dapengine.cpp
+++ b/src/plugins/debugger/dap/dapengine.cpp
@@ -734,6 +734,8 @@ void DapEngine::handleBreakpointResponse(const QJsonObject &response)
                 parameters.pending = false;
                 bp->setParameters(parameters);
                 notifyBreakpointInsertOk(bp);
+                if (parameters.oneShot)
+                    continueInferior();
             }
             if (!bp.isNull())
                 bp->setResponseId(QString::number(map.value(mapKey).value("id").toInt()));
@@ -783,6 +785,8 @@ void DapEngine::handleBreakpointResponse(const QJsonObject &response)
                 bp->setParameters(parameters);
                 bp->setResponseId(QString::number(jsonBreakpoint.value("id").toInt()));
                 notifyBreakpointInsertOk(bp);
+                if (parameters.oneShot)
+                    continueInferior();
                 map.remove(key);
             }
         }
@@ -841,7 +845,7 @@ void DapEngine::handleStoppedEvent(const QJsonObject &event)
             const BreakpointParameters &params = bp->requestedParameters();
             gotoLocation(Location(params.fileName, params.textPosition));
             if (params.oneShot)
-                removeBreakpoint(bp);
+                bp->globalBreakpoint()->deleteBreakpoint();
         }
     }
 
diff --git a/src/plugins/debugger/dap/gdbdapengine.cpp b/src/plugins/debugger/dap/gdbdapengine.cpp
index fd944e91151..1b208924e85 100644
--- a/src/plugins/debugger/dap/gdbdapengine.cpp
+++ b/src/plugins/debugger/dap/gdbdapengine.cpp
@@ -9,6 +9,7 @@
 
 #include <debugger/debuggermainwindow.h>
 
+#include <utils/mimeutils.h>
 #include <utils/temporarydirectory.h>
 
 #include <projectexplorer/buildconfiguration.h>
@@ -22,6 +23,13 @@
 using namespace Core;
 using namespace Utils;
 
+namespace {
+const char C_HEADER_MIMETYPE[] = "text/x-chdr";
+const char C_SOURCE_MIMETYPE[] = "text/x-csrc";
+const char CPP_SOURCE_MIMETYPE[] = "text/x-c++src";
+const char CPP_HEADER_MIMETYPE[] = "text/x-c++hdr";
+} // namespace
+
 namespace Debugger::Internal {
 
 class ProcessDataProvider : public IDataProvider
@@ -163,7 +171,10 @@ void GdbDapEngine::setupEngine()
 
 bool GdbDapEngine::acceptsBreakpoint(const BreakpointParameters &bp) const
 {
-    return bp.fileName.endsWith(".cpp") || bp.fileName.endsWith(".h");
+    const auto mimeType = Utils::mimeTypeForFile(bp.fileName);
+    return mimeType.matchesName(C_HEADER_MIMETYPE) || mimeType.matchesName(C_SOURCE_MIMETYPE)
+           || mimeType.matchesName(CPP_HEADER_MIMETYPE)
+           || mimeType.matchesName(CPP_SOURCE_MIMETYPE);
 }
 
 const QLoggingCategory &GdbDapEngine::logCategory()
diff --git a/src/plugins/debugger/dap/pydapengine.cpp b/src/plugins/debugger/dap/pydapengine.cpp
index 37b5712b518..9f59d05f9ea 100644
--- a/src/plugins/debugger/dap/pydapengine.cpp
+++ b/src/plugins/debugger/dap/pydapengine.cpp
@@ -12,6 +12,7 @@
 #include <debugger/debuggertr.h>
 
 #include <utils/infobar.h>
+#include <utils/mimeutils.h>
 #include <utils/temporarydirectory.h>
 
 #include <projectexplorer/buildconfiguration.h>
@@ -26,6 +27,13 @@
 using namespace Core;
 using namespace Utils;
 
+namespace {
+const char C_PY_MIMETYPE[] = "text/x-python";
+const char C_PY_GUI_MIMETYPE[] = "text/x-python-gui";
+const char C_PY3_MIMETYPE[] = "text/x-python3";
+const char C_PY_MIME_ICON[] = "text-x-python";
+} // namespace
+
 namespace Debugger::Internal {
 
 const char installDebugPyInfoBarId[] = "Python::InstallDebugPy";
@@ -199,16 +207,6 @@ void PyDapEngine::quitDebugger()
     DebuggerEngine::quitDebugger();
 }
 
-bool PyDapEngine::acceptsBreakpoint(const BreakpointParameters &bp) const
-{
-    return bp.fileName.endsWith(".py");
-}
-
-bool PyDapEngine::isLocalAttachEngine() const
-{
-    return runParameters().startMode == AttachToLocalProcess;
-}
-
 void PyDapEngine::setupEngine()
 {
     QTC_ASSERT(state() == EngineSetupRequested, qDebug() << state());
@@ -265,6 +263,18 @@ void PyDapEngine::setupEngine()
     m_dapClient->dataProvider()->start();
 }
 
+bool PyDapEngine::acceptsBreakpoint(const BreakpointParameters &bp) const
+{
+    const auto mimeType = Utils::mimeTypeForFile(bp.fileName);
+    return mimeType.matchesName(C_PY3_MIMETYPE) || mimeType.matchesName(C_PY_GUI_MIMETYPE)
+           || mimeType.matchesName(C_PY_MIMETYPE) || mimeType.matchesName(C_PY_MIME_ICON);
+}
+
+bool PyDapEngine::isLocalAttachEngine() const
+{
+    return runParameters().startMode == AttachToLocalProcess;
+}
+
 const QLoggingCategory &PyDapEngine::logCategory()
 {
     static const QLoggingCategory logCategory = QLoggingCategory("qtc.dbg.dapengine.python",