feat(v2)(ui): tx_type chip in operator settlements table (S8 UI)

Adds a "Direction" column to the per-machine settlements table that
renders a coloured Quasar chip with a directional icon:

  - cash-out (green-8, south_west arrow) — customer paid ATM invoice in
    BTC, operator wallet received sats. Principal distributes to LPs.
  - cash-in  (orange-8, north_east arrow) — customer redeemed LNURL-
    withdraw at the ATM, operator wallet sent sats. No DCA leg;
    liquidity stays in the operator wallet.

Tooltips spell out the meaning so the operator doesn't have to
remember the canonical mapping (cash_out ↔ inbound, cash_in ↔ outbound)
on sight. Defaults to cash_out for any unknown / legacy row, which is
safe because pre-S6 rows are all cash_out and the rejection-record
path also stamps cash_out.

Closes the UI half of aiolabs/satmachineadmin#22 (S8 cash-in path);
the structural half (direction discriminator + DCA skip) shipped in
eca6e96. End-to-end test against a live LNURL-withdraw redemption is
the remaining S8 acceptance gate.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

static/js/index.js

@@ -159,6 +159,7 @@ window.app = Vue.createApp({
       settlementsTable: {
         columns: [
           {name: 'status', label: 'Status', field: 'status', align: 'left'},
+          {name: 'tx_type', label: 'Direction', field: 'tx_type', align: 'left'},
           {name: 'created_at', label: 'Time', field: 'created_at', align: 'left'},
           {name: 'wire_sats', label: 'Wire', field: 'wire_sats', align: 'right'},
           {name: 'principal_sats', label: 'Principal (→ LPs)', field: 'principal_sats', align: 'right'},
@@ -764,6 +765,34 @@ window.app = Vue.createApp({
       return SETTLEMENT_STATUS_COLOR[status] || 'grey'
     },
 
+    txTypeChip(txType) {
+      // Direction at the ATM (business semantics), not at the operator's
+      // wallet (Lightning protocol semantics). See the canonical mapping
+      // in tasks.py:_handle_payment — cash_out ↔ inbound Lightning,
+      // cash_in ↔ outbound Lightning.
+      if (txType === 'cash_in') {
+        return {
+          color: 'orange-8',
+          icon: 'north_east',
+          label: 'cash-in',
+          tooltip:
+            'Cash-in: customer deposited fiat at the ATM, operator wallet ' +
+            'sent sats (LNURL-withdraw). No DCA distribution; liquidity ' +
+            'stays in the operator wallet.'
+        }
+      }
+      // Default to cash_out — both the only direction shipped pre-S8 and
+      // the safer "unknown means cash_out" fallback for legacy rows.
+      return {
+        color: 'green-8',
+        icon: 'south_west',
+        label: 'cash-out',
+        tooltip:
+          'Cash-out: customer paid the ATM\'s invoice in BTC, operator ' +
+          'wallet received sats. Principal is distributed to LPs.'
+      }
+    },
+
     // -----------------------------------------------------------------
     // Settlement actions: retry, partial-dispense, force-reset, note
     // -----------------------------------------------------------------

templates/satmachineadmin/index.html

@@ -874,6 +874,17 @@
                   <q-badge :color="settlementStatusColor(props.row.status)"
                            :label="props.row.status"></q-badge>
                 </q-td>
+                <q-td key="tx_type">
+                  <q-chip dense square size="sm"
+                          :color="txTypeChip(props.row.tx_type).color"
+                          text-color="white"
+                          :icon="txTypeChip(props.row.tx_type).icon">
+                    <span v-text="txTypeChip(props.row.tx_type).label"></span>
+                    <q-tooltip>
+                      <span v-text="txTypeChip(props.row.tx_type).tooltip"></span>
+                    </q-tooltip>
+                  </q-chip>
+                </q-td>
                 <q-td key="created_at">
                   <span :style="{fontSize: '0.85em'}"
                         v-text="formatTime(props.row.created_at)"></span>