from telegram.ext import ApplicationBuilder, ContextTypes, CommandHandler, AIORateLimiter
from telegram import Update


async def send_sth(update: Update, ctx: ContextTypes.DEFAULT_TYPE):
    return await ctx.bot.send_message(
        chat_id=update.effective_chat.id, reply_to_message_id=update.message.id, parse_mode="HTML",
        text="sth")


class CustomLimiter(AIORateLimiter):
    def __init__(self):
        super().__init__()

    async def process_request(self, callback, args, kwargs, endpoint: str, data, rate_limit_args):
        # <some logic here to process if not RateLimited>
        if endpoint not in ['getMe', 'getUpdates', "deleteWebhook"]:
            return  # but the AttributeError doesn't happen if return {"from": None, 'date': 0, 'message_id': 0}
        return await callback(*args, **kwargs)


if __name__ == "__main__":
    rate_limiter = CustomLimiter()
    application = ApplicationBuilder().token("<API_TOKEN>").read_timeout(30).get_updates_read_timeout(60) \
        .rate_limiter(rate_limiter).build()
    sth_handler = CommandHandler("start", send_sth)
    application.add_handler(sth_handler)
    application.run_polling(timeout=60)

Output:

During handling of the above exception, another exception occurred:
Traceback (most recent call last):
  File "....\lib\site-packages\telegram\ext\_application.py", line 1878, in process_error
    await callback(update, context)
  File "....\sth.py", line 1215, in error_handler
    return await ctx.bot.send_message(........),
  File "....\lib\site-packages\telegram\ext\_extbot.py", line 2712, in send_document
    return await super().send_document(
  File "...\lib\site-packages\telegram\_bot.py", line 1804, in send_document
    return await self._send_message(
  File "....\lib\site-packages\telegram\ext\_extbot.py", line 629, in _send_message
    result = await super()._send_message(
  File "....\lib\site-packages\telegram\_bot.py", line 822, in _send_message
    return Message.de_json(result, self)
  File "....\lib\site-packages\telegram\_message.py", line 1306, in de_json
    data = cls._parse_data(data)
  File "....\lib\site-packages\telegram\_telegramobject.py", line 385, in _parse_data
    return data.copy()
AttributeError: 'NoneType' object has no attribute 'copy'