Filer - Update correction filing processor to work with alternate name changes(DO LAST)

Update filing processors such that we are work with alternate_name entries if required. With the new data model, SPs will need to use alternate_name similar to the way we use a legal_entity record.

If the filing processor only works with legal entity records, it may be the case that no major updates need to be made to work with alternate_names.

For each filing processor, do the following:
- [ ] Do work in legal name branch
- [ ] Update to work with alternate names and legal entities
- [ ] There may be some other misc updates required to get processor working. Update as appropriate.
- [ ] Update LegalEntity, AlternateName and Filings model manually in common models to match with legal api models as required. If #19451 has been completed, this may not be required
- [ ] Update worker.py as required
- [ ] Update to ensure that everything is persisted and retrieved correctly according to new data model
- [ ] ignore alias logic. work will be done in another ticket
- [ ] Update tests relevant to this filing processor

Start with the correction filing processor and its legal-name branch, then inspect worker.py and the common LegalEntity, AlternateName, and Filings models. Update the processor and persistence behavior for legal entities and alternate names, and run the relevant filing-processor tests to verify retrieval and persistence.

Written by the indexing model from the issue text.