refactor: use adapter.split_full_table_name() in FreeTable and add_parts

Replace two more ad-hoc name-splitting implementations:

- FreeTable.__init__: was s.strip('`"') for s in name.split(".")
- Diagram.add_parts.is_part: same pattern

Both now use the canonical adapter.split_full_table_name().

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

Author: dimitri-yatsenko

src/datajoint/diagram.py

@@ -208,10 +208,12 @@ def add_parts(self) -> "Diagram":
             New diagram with part tables included.
         """
 
+        split = self._connection.adapter.split_full_table_name
+
         def is_part(part, master):
-            part = [s.strip('`"') for s in part.split(".")]
-            master = [s.strip('`"') for s in master.split(".")]
-            return master[0] == part[0] and master[1] + "__" == part[1][: len(master[1]) + 2]
+            p_schema, p_table = split(part)
+            m_schema, m_table = split(master)
+            return m_schema == p_schema and m_table + "__" == p_table[: len(m_table) + 2]
 
         self = Diagram(self)  # copy
         self.nodes_to_show.update(n for n in self.nodes() if any(is_part(n, m) for m in self.nodes_to_show))

src/datajoint/table.py

@@ -1559,8 +1559,7 @@ class FreeTable(Table):
     """
 
     def __init__(self, conn, full_table_name):
-        # Backend-agnostic quote stripping (MySQL uses `, PostgreSQL uses ")
-        self.database, self._table_name = (s.strip('`"') for s in full_table_name.split("."))
+        self.database, self._table_name = conn.adapter.split_full_table_name(full_table_name)
         self._connection = conn
         self._support = [full_table_name]
         self._heading = Heading(