Ensure all data of a note is available for public accounts

### What should be done?

For public accounts (network or user controlled), we need to ensure that all the data is completely available after transactions are executed.

This means the complete account code, its storage, vault, and related data.

### How should it be done?

-

### When is this task done?

When the protocol enforces the validity and availability of the account data.

### Additional context

related to https://github.com/0xPolygonMiden/miden-base/issues/585