diff --git a/pudb/debugger.py b/pudb/debugger.py
index 824c186e..eebc53f2 100644
--- a/pudb/debugger.py
+++ b/pudb/debugger.py
@@ -227,33 +227,6 @@ def __del__(self):
             self._tty_file.close()
             self._tty_file = None
 
-    # These (dispatch_line and set_continue) are copied from bdb with the
-    # patch from https://bugs.python.org/issue16482 applied. See
-    # https://github.com/inducer/pudb/pull/90.
-    def dispatch_line(self, frame):
-        if self.stop_here(frame) or self.break_here(frame):
-            self.user_line(frame)
-            if self.quitting:
-                raise bdb.BdbQuit
-            # Do not re-install the local trace when we are finished debugging,
-            # see issues 16482 and 7238.
-            if not sys.gettrace():
-                return None
-        return self.trace_dispatch
-
-    def set_continue(self):
-        # Don't stop except at breakpoints or when finished
-        self._set_stopinfo(self.botframe, None, -1)
-        if not self.breaks:
-            # no breakpoints; run without debugger overhead
-            sys.settrace(None)
-            frame = sys._getframe().f_back
-            while frame:
-                del frame.f_trace
-                if frame is self.botframe:
-                    break
-                frame = frame.f_back
-
     def set_jump(self, frame, line):
         frame.f_lineno = line
 
@@ -279,29 +252,41 @@ def set_trace(self, frame=None, as_breakpoint=None, paused=True):
                 as_breakpoint = True
 
         if frame is None:
-            frame = thisframe = sys._getframe().f_back
-        else:
-            thisframe = frame
+            frame = sys._getframe().f_back
+            assert frame is not None
+
         # See pudb issue #52. If this works well enough we should upstream to
         # stdlib bdb.py.
         # self.reset()
 
-        while frame:
-            frame.f_trace = self.trace_dispatch
-            self.botframe = frame
-            frame = frame.f_back
+        if paused:
+            self.enterframe = frame
 
-        thisframe_info = (
-                self.canonic(thisframe.f_code.co_filename), thisframe.f_lineno)
-        if thisframe_info not in self.set_traces or self.set_traces[thisframe_info]:
+            thisframe = frame
+            while thisframe:
+                thisframe.f_trace = self.trace_dispatch
+                self.botframe = thisframe
+                if sys.version_info >= (3, 13):
+                    # save trace flags, to be restored by set_continue
+                    self.frame_trace_lines_opcodes[thisframe] = (  # pylint: disable=no-member
+                        thisframe.f_trace_lines,
+                        thisframe.f_trace_opcodes)
+
+                    # We need f_trace_lines == True for the debugger to work
+                    thisframe.f_trace_lines = True
+
+                thisframe = thisframe.f_back
+
+        frame_info = (self.canonic(frame.f_code.co_filename), frame.f_lineno)
+        if frame_info not in self.set_traces or self.set_traces[frame_info]:
             if as_breakpoint:
-                self.set_traces[thisframe_info] = True
+                self.set_traces[frame_info] = True
                 if self.ui.source_code_provider is not None:
                     self.ui.set_source_code_provider(
                             self.ui.source_code_provider, force_update=True)
 
             if paused:
-                self.set_step()
+                self._set_stopinfo(frame, None)
             else:
                 self.set_continue()
             sys.settrace(self.trace_dispatch)
@@ -460,9 +445,6 @@ def user_call(self, frame, argument_list):
 
     def user_line(self, frame):
         """This function is called when we stop or break at this line."""
-        if "__exc_tuple__" in frame.f_locals:
-            del frame.f_locals["__exc_tuple__"]
-
         if self._waiting_for_mainpyfile(frame):
             return
 
@@ -486,7 +468,7 @@ def user_return(self, frame, return_value):
         if self._waiting_for_mainpyfile(frame):
             return
 
-        if "__exc_tuple__" not in frame.f_locals:
+        if "__exception__" not in frame.f_locals:
             self.interaction(frame)
 
     def _waiting_for_mainpyfile(self, frame):
@@ -502,13 +484,15 @@ def _waiting_for_mainpyfile(self, frame):
                 return True
         return False
 
-    def user_exception(self, frame, exc_tuple):
+    def user_exception(self, frame, exc_info):
         """This function is called if an exception occurs,
         but only if we are to stop at or just below this level."""
-        frame.f_locals["__exc_tuple__"] = exc_tuple
+
+        exc_type, exc_value, _exc_traceback = exc_info
+        frame.f_locals["__exception__"] = exc_type, exc_value
 
         if not self._wait_for_mainpyfile:
-            self.interaction(frame, exc_tuple)
+            self.interaction(frame, exc_info)
 
     # {{{ entrypoints