[BUG[ Use clone estimator in `BaseDeepClusterer` to fix `check_fit_updates_state` fail

[hadifawaz1999]

Fixes #2294 Part of #2230

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I have added the following labels to this PR based on the title: [ $\color{#d73a4a}{\textsf{bug}}$ ]. I have added the following labels to this PR based on the changes made: [ $\color{#4011F3}{\textsf{clustering}}$, $\color{#2C2F20}{\textsf{testing}}$ ]. Feel free to change these if they do not properly represent the PR.

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