Backport PR pandas-dev#57889 on branch 2.2.x (BUG: Handle Series construction with Dask, dict-like, Series) (pandas-dev#57899)

Backport PR pandas-dev#57889: BUG: Handle Series construction with Dask, dict-like, Series

Co-authored-by: Matthew Roeschke <10647082+mroeschke@users.noreply.github.com>

Author: meeseeksmachine

pandas/core/series.py

@@ -533,7 +533,7 @@ def __init__(
                 data = data.reindex(index, copy=copy)
                 copy = False
                 data = data._mgr
-        elif is_dict_like(data):
+        elif isinstance(data, Mapping):
             data, index = self._init_dict(data, index, dtype)
             dtype = None
             copy = False
@@ -605,7 +605,7 @@ def __init__(
                 )
 
     def _init_dict(
-        self, data, index: Index | None = None, dtype: DtypeObj | None = None
+        self, data: Mapping, index: Index | None = None, dtype: DtypeObj | None = None
     ):
         """
         Derive the "_mgr" and "index" attributes of a new Series from a