Implement Paimon writer related interface

[leonardBang]

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Description

Implement Paimon writer related interface based on POC code refinements

Willingness to contribute

• I'm willing to submit a PR!

[SteNicholas]

@leonardBang, is there anyone working for this implementation? If no, I would like to take this ticket.

[leonardBang]

Thanks for your taking, assigned to you @SteNicholas

[luoyuxia]

@SteNicholas Hi, do you still have time to finish it? AFAIC, it may take some time to complete this issue. If you don't have enough time, I can take over this whole issue, and then split it into sub stasks. After that, you can take these sub-task if you still have time and interest.

[luoyuxia]

Since havn't recieved any response, I will take over it and push this issue to be in progress and split it into actual subtasks.