The user is asking how to write the Polish word for the cuckoo, gżegżółka, and related orthography. Direct answer

• Correct form: gżegżółka
• Common misspellings to avoid: grzegrzółka or grzegżółka
• Rationale: It is a native Polish word and the ż after the initial g’s is standard in such native terms; the word is specific to kukułka (cuckoo) and does not follow the rz-after-consonants rule in this case.

Context and notes

• Variant meanings: gżegżółka can refer to the bird Cuculus canorus or, in some regional usages, to a certain swallow nestling behavior or a Malbork dialect reference; in general Polish dictionaries it is listed as a dated or regional term for cuckoo. This aligns with standard Polish orthography for native words containing ż after g in a reduplicative or onomatopoeic form. For learners, focus on the correct spelling gżegżółka and pronunciation with a soft ż sound after the initial g sounds.
• Pronunciation tip: the sequence g-ż-e- g- ż- ó- ł-ka is pronounced with the “zh” sound for ż, and the stress typically falls on the penultimate syllable in Polish words of this pattern. Practicing slowly will help solidify correct articulation.

If you’d like, I can provide:

• a short audio-like pronunciation guide using phonetic hints
• a few example sentences using gżegżółka in different contexts
• a quick comparison table with common misspellings and the correct form to help memory

Would you like any of these?