## What
When deleting a transaction that belongs to a **manual**
(non-bank-connected) account, the user can now opt to update the
account's **current balance** for today, so it stays accurate without
re-syncing.
- Deleting an **expense** (amount < 0) → balance **increases** by the
amount.
- Deleting **income** (amount > 0) → balance **decreases** by the
amount.
- Formula: `new_balance = current_balance − transaction.amount`. If
today has no balance row, it's seeded from the latest known balance.
- Available for **single delete** and **bulk delete** (a checkbox in the
confirmation dialog).
- Connected accounts are never touched — their balances come from bank
sync.
- On the account page, the balance display refreshes automatically after
the delete (no page reload).
## How
- New `ManualBalanceAdjuster` service; `TransactionController@destroy`
calls it when the request carries `update_balance` and the account is
manual.
- Frontend `transactionSyncService.delete/deleteMany` accept an
`updateBalance` option; both delete dialogs show the checkbox only when
a manual account is affected.
- `TransactionList` gains an `onBalanceUpdated` callback;
`Accounts/Show` uses it to bump the balance chart's refresh key.
- Added `banking_connection_id` to the accounts payload (transactions,
budgets, and the shared Inertia props feeding accounts/show) so the
frontend can identify manual accounts.
<img width="896" height="400" alt="image"
src="https://github.com/user-attachments/assets/e7f35ccb-13a1-40a1-bf04-615752bddf1a"
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