[lvgl] Add paused option to suppress updates on boot (#16973)

Co-authored-by: Jonathan Swoboda <154711427+swoboda1337@users.noreply.github.com>

tests/component_tests/lvgl/config/not_paused.yaml

@@ -0,0 +1,26 @@
+esphome:
+  name: test-not-paused
+
+esp32:
+  board: lolin_c3_mini
+
+spi:
+  mosi_pin:
+    number: GPIO2
+    ignore_strapping_warning: true
+  clk_pin: GPIO1
+
+display:
+  - platform: mipi_spi
+    data_rate: 20MHz
+    model: st7735
+    cs_pin:
+      number: GPIO8
+      ignore_strapping_warning: true
+    dc_pin:
+      number: GPIO3
+
+lvgl:
+  widgets:
+    - obj:
+        id: root_obj

tests/component_tests/lvgl/config/paused.yaml

@@ -0,0 +1,27 @@
+esphome:
+  name: test-paused
+
+esp32:
+  board: lolin_c3_mini
+
+spi:
+  mosi_pin:
+    number: GPIO2
+    ignore_strapping_warning: true
+  clk_pin: GPIO1
+
+display:
+  - platform: mipi_spi
+    data_rate: 20MHz
+    model: st7735
+    cs_pin:
+      number: GPIO8
+      ignore_strapping_warning: true
+    dc_pin:
+      number: GPIO3
+
+lvgl:
+  paused: true
+  widgets:
+    - obj:
+        id: root_obj

tests/component_tests/lvgl/test_paused.py

@@ -0,0 +1,35 @@
+"""Tests for the LVGL ``paused`` option code generation."""
+
+from __future__ import annotations
+
+import re
+
+_SET_PAUSED_RE = re.compile(r"->set_paused\((.+?)\);")
+
+
+def _extract_set_paused(main_cpp: str) -> list[str]:
+    """Return the normalised argument text of every set_paused() call found.
+
+    Whitespace within and around the arguments is collapsed so unrelated
+    code-generation formatting changes don't break these tests.
+    """
+    return [" ".join(m.group(1).split()) for m in _SET_PAUSED_RE.finditer(main_cpp)]
+
+
+class TestPausedCodeGeneration:
+    """Verify that the ``paused`` option drives the set_paused() call."""
+
+    def test_paused_true_generates_set_paused(
+        self, generate_main, component_config_path
+    ):
+        """``paused: true`` emits a set_paused(true, false) call."""
+        main_cpp = generate_main(component_config_path("paused.yaml"))
+        calls = _extract_set_paused(main_cpp)
+        assert calls == ["true, false"]
+
+    def test_paused_default_omits_set_paused(
+        self, generate_main, component_config_path
+    ):
+        """Without ``paused`` (default false) no set_paused call is generated."""
+        main_cpp = generate_main(component_config_path("not_paused.yaml"))
+        assert _extract_set_paused(main_cpp) == []

tests/components/lvgl/lvgl-package.yaml

@@ -35,6 +35,7 @@ lvgl:
   rotation: 90
   log_level: debug
   resume_on_input: true
+  paused: true
   update_when_display_idle: true
   refresh_interval: 30ms
   on_pause: