esp32-c3 (LILYGO T-01C3 aka esp01 with esp32c3) boot issue after update with UART in config

### The problem

This is serial log as the device does not become available on wifi

Log after flashing on x64 system
it does boot and show as connect, but no webserver is up etc. (And yes, webserver is specified in the config)

### Which version of ESPHome has the issue?

2022.12.0 and also tried 2023.01.0.dev0

### What type of installation are you using?

Home Assistant Add-on

### Which version of Home Assistant has the issue?

2022.12.5

### What platform are you using?

ESP32

### Board

esp01-c3

### Component causing the issue

bluetooth_proxy?

### Example YAML snippet

_No response_

### Anything in the logs that might be useful for us?

Primary usage for the device is obis reading using

```
external_components:
- source: github://evlo/esphome_ZPA-ZE312
components: [obis]
refresh: 0s
```

### Additional information

I thought it might be related to bluetooth_proxy since I updated and enabled bt proxy at the same time, but even after removing bluetooth_proxy from config, it still does not boot properly.

Also pre 2022.12 I needed to build using
```
esp32:
board: esp32-c3-devkitm-1
framework:
type: arduino
version: 2.0.3
platform_version: 4.4.0
```

on arm64 (ha yellow)
but on x64 it was ok

with 2022.12 it builds with

```
esp32:
board: esp32-c3-devkitm-1
framework:
type: arduino
```

both on arm64 and x64, but resulting firmware does not boot for the checksum issue in the screenshot

With 2022.12.0 AND
```
board: esp32-c3-devkitm-1
framework:
type: arduino
version: 2.0.3
platform_version: 4.4.0
```
results is this thing

**This only happens if UART component is in yaml config**