fix(attract): restore all remainder-driven cycles

The same raw Div32 pattern used by the item animation appears in every nested
idle phase: after division by 32, 40, or 16, the binary copies the remainder
from CX:BX before the second division. Readable C and Rust used quotients for
targets, word quads, the record strip, and the four-point chase, turning short
repeating chases into slow one-shot progressions.

Use `%32/2`, `%32/4`, `%40/4`, and `%16/4` for those cycles alongside the
already corrected `%144/8` items. Preserve the first-cycle phase-zero delay,
then repeat each incremental overlay state exactly. Add C and Rust coverage at
phase activation, reversal, deactivation, and wrap boundaries.

Test Plan:
- raw instruction review at `1000:01b7-063b` -- all remainder transfers confirmed
- `cargo test --workspace --all-targets --all-features` -- 125 passed
- `cargo clippy --workspace --all-targets --all-features -- -D warnings` -- passed
- `bash original/tools/test_reconstructed_c.sh` -- passed
- `python3 original/tools/audit_reconstruction.py --require-complete` -- passed with zero incomplete or unclassified units
- `cargo run -- --simulate attract --step 145 --screenshot /tmp/tdkpin-attract-remainder.png` -- passed; visually inspected at 640x460
- `rumdl check --flavor commonmark RECONSTRUCTION.md CHANGELOG.md` -- passed
- `git diff --cached --check` -- passed

original/reconstructed/tests/test_timer_tick.c

@@ -464,7 +464,7 @@ static void test_intro_tick_32_and_marquee(void)
     assert(g_restore_a_ids[2] == 153 &&
            g_restore_a_ids[3] == 154 && g_restore_a_ids[4] == 6);
     assert(g_restore_b_id_count == 1 && g_restore_b_ids[0] == 1002);
-    assert(g_region_a_calls == 2 && g_region_b_calls == 1);
+    assert(g_region_a_calls == 1 && g_region_b_calls == 2);
     assert(g_present_calls == 3);
     assert(g_item_calls == 1 && g_last_item == 4);
 
@@ -510,6 +510,41 @@ static void test_intro_tick_32_and_marquee(void)
     }
 }
 
+static void test_intro_remainder_driven_cycles(void)
+{
+    prepare_fixture();
+    win16_write_u8(win16_dgroup_pointer(0x07c9), 1);
+    win16_write_u32(win16_dgroup_pointer(0x0876), 0, 3);
+    tdkpin_timer_tick_with_frame(0x0300, g_window);
+    assert(g_restore_a_id_count == 2);
+    assert(g_restore_a_ids[0] == 142 && g_restore_a_ids[1] == 1002);
+    assert(g_restore_b_id_count == 1 && g_restore_b_ids[0] == 1001);
+    assert(g_region_a_calls == 2 && g_region_b_calls == 1);
+    assert(g_item_calls == 0);
+
+    prepare_fixture();
+    win16_write_u8(win16_dgroup_pointer(0x07c9), 1);
+    win16_write_u32(win16_dgroup_pointer(0x0876), 0, 15);
+    tdkpin_timer_tick_with_frame(0x0300, g_window);
+    assert(g_restore_a_id_count == 1 && g_restore_a_ids[0] == 1005);
+    assert(g_restore_b_id_count == 5);
+    assert(g_restore_b_ids[0] == 140 && g_restore_b_ids[1] == 1004);
+    assert(g_restore_b_ids[2] == 153 &&
+           g_restore_b_ids[3] == 154 && g_restore_b_ids[4] == 6);
+    assert(g_region_a_calls == 2 && g_region_b_calls == 1);
+    assert(g_item_calls == 1 && g_last_item == 2);
+
+    prepare_fixture();
+    win16_write_u8(win16_dgroup_pointer(0x07c9), 1);
+    win16_write_u32(win16_dgroup_pointer(0x0876), 0, 39);
+    tdkpin_timer_tick_with_frame(0x0300, g_window);
+    assert(g_restore_a_id_count == 2);
+    assert(g_restore_a_ids[0] == 144 && g_restore_a_ids[1] == 1003);
+    assert(g_restore_b_id_count == 1 && g_restore_b_ids[0] == 1002);
+    assert(g_region_a_calls == 2 && g_region_b_calls == 1);
+    assert(g_item_calls == 1 && g_last_item == 5);
+}
+
 static void test_panel_and_game_initialization(void)
 {
     prepare_fixture();
@@ -556,6 +591,7 @@ int main(void)
     test_multiball_promotion();
     test_multiball_spawn();
     test_intro_tick_32_and_marquee();
+    test_intro_remainder_driven_cycles();
     test_panel_and_game_initialization();
     return 0;
 }