Consider root package with all extras

src/poetry/mixology/version_solver.py

@@ -113,15 +113,15 @@ def solve(self) -> SolverResult:
         or raises an error if no such set is available.
         """
         start = time.time()
-        root_dependency = Dependency(self._root.name, self._root.version)
+        root_dependency = Dependency(self._root.name, self._root.version, extras=list(self._root.extras))
         root_dependency.is_root = True
 
         self._add_incompatibility(
             Incompatibility([Term(root_dependency, False)], RootCause())
         )
 
         try:
-            next: str | None = self._root.name
+            next: str | None = root_dependency.complete_name
             while next is not None:
                 self._propagate(next)
                 next = self._choose_package_version()

src/poetry/puzzle/provider.py

@@ -837,7 +837,7 @@ def debug(self, message: str, depth: int = 0) -> None:
 
         if message.startswith("fact:"):
             if "depends on" in message:
-                m = re.match(r"fact: (.+?) depends on (.+?) \((.+?)\)", message)
+                m = re.match(r"fact: (.+?) depends on ([^() ]+)(.*)", message)
                 if m is None:
                     raise ValueError(f"Unable to parse fact: {message}")
                 m2 = re.match(r"(.+?) \((.+?)\)", m.group(1))
@@ -850,7 +850,7 @@ def debug(self, message: str, depth: int = 0) -> None:
 
                 message = (
                     f"<fg=blue>fact</>: <c1>{name}</c1>{version} "
-                    f"depends on <c1>{m.group(2)}</c1> (<c2>{m.group(3)}</c2>)"
+                    f"depends on <c1>{m.group(2)}</c1> (<c2>{m.group(3).strip(' ()')}</c2>)"
                 )
             elif " is " in message:
                 message = re.sub(