Fix charm dependencies and re-add publishing of the charm

[dragomirp]

#216 will remove the currently broken step of charm publishing.

Currently, when packing with the charm plugin charmcraft will try to satisfy all the libraries pydeps, which result in a conflict and inability to pack the charm due to conflicting pydantic requirement for v0 and v1 data_models.

We should resolve the dependency issue (ship a single lib version in the charm or consider using different plugin to pack) and re-enable the publishing of the charm itself (possibly migrate to the shared workflows packing and release).

[syncronize-issues-to-jira]

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The internal ticket has been created: https://warthogs.atlassian.net/browse/DPE-7408.

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