[Feature Request]: As Playground user, I want to filter catalog of examples by tags

[VladMatyunin]

What needs to happen?

• [Playground] Implement tag based filtering feature on the frontend #22074
• [Task]: Implement parsing of tags from Playground examples, modify endpoints to provide tags #22337
• [Task]: Modify examples for Playground, add Tags to examples #22338

Issue Priority

Priority: 3

Issue Component

Component: beam-playground