consider the changes

LIPD.py

import discord
import asyncio

from discord import app_commands
from discord.ext import commands

class VoteOptions(discord.ui.Select):
    def __init__(self):
        self.option = None
        options = [
            discord.SelectOption(label="Amendment", value="Has the council vote on the charter amendment proposal."),
            discord.SelectOption(label="Bill", value="Has the council vote on the bill proposal."),
            discord.SelectOption(label="Motion", value="Has the council vote on the motion."),
            discord.SelectOption(label="Nomination", value="Has the council vote on the nomination of a person to a position."),
            discord.SelectOption(label="Resolution", value="Has the council vote on the resolution.")
        ]

        super().__init__(placeholder="Select a vote type", options=options)

    async def callback(self, interaction: discord.Interaction) -> None:
        self.option = interaction.data["values"][0]

class VoteView(discord.ui.View):
    def __init__(self, vote_options: VoteOptions):
        super().__init__()
        self.add_item(vote_options)

class ContextTest(commands.Cog, VoteOptions):
    def __init__(self, bot: commands.Bot) -> None:
        self.bot: commands.Bot = bot
        self.bot.tree.add_command(app_commands.ContextMenu(name='Context Test', callback=self.context_menu_callback))
        
        super().__init__()

    @commands.command()
    async def test(self, ctx: commands.Context) -> None:
        interaction = await ctx.send('Test')
        await self.context_menu_callback(ctx, interaction, ctx.message)

    async def context_menu_callback(self, interaction: discord.Interaction, message: discord.Message) -> None:
        view = VoteView(self)

        await interaction.response.send_message('Select the vote type below', view=view, ephemeral=True)
        while self.option is None:
            await asyncio.sleep(0.1)
            '''When the option is set, continue'''
        else:
            embed = discord.Embed(
                description = f'**Vote on the {self.options}**',
                colour=discord.Color.dark_blue()
            )
            embed.set_footer(text=f'Vote started by {interaction.author.mention}', icon_url=interaction.author.avatar)
            await message.reply(embed=embed)
        pass

    pass

async def setup(bot: commands.Bot) -> None:
    await bot.add_cog(ContextTest(bot))

async def teardown(bot: commands.Bot) -> None:
    await bot.remove_cog('ContextTest')