Epic: Simulating all enqueued calls

[LeilaWang]

Simulator

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1. Silo: note hashes, nullifiers.
2. Update tree roots: nullifiers, public data.
3. Add sibling paths to hints for read requests: note hashes, nullifiers, l1 to l2 messages, public data.
4. Squash public data writes.
5. Generate public data write for fee payer balance update.
6. Add a flag to mock fee payer balance read to complete the simulation and get the estimated fee. #10833
   team-turing +1
   

Circuit

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1. Remove public kernel inner. #9594
   C-protocol-circuits team-turing +2
   
2. chore: remove public kernels #10027
   +0
3. Split base rollup into public base and private base. #9291
   C-protocol-circuits team-turing +2
   
4. feat: introduce avm circuit public inputs #9759
   e2e-all +1

Prover

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1. chore!: split base rollup and remove public kernel proving #9434
   bench-all e2e-all +2

[dbanks12]

See #9444 for task breakdown for siloing, hashing, tree accesses & tree snapshots/rollbacks in simulator & witgen

[dbanks12]

Fyi, I don't think we'll be squashing public data writes for now