The mix how how you present this feels contradictory. You would pull a 'major' portion from the emergency fund (EF), but at the same time, you'll replace it in a month.
The first bit scares me, this is not the purpose of that fund, and the issue is the aspect of money that's psychological. Money is a habit, if you justify this use of the EF now, it gets progressively easier for this purchase or that, and the fund loses its intended purpose.
If the second half is accurate, that your income would replace that money in a month, i'd say the fund wasn't fully funded to its proper level, 6-9 months of all expenses to get you though issues as bad as a job loss.
The great thing I see in your question is what's missing. You're not looking to buy a car with a loan. That puts you in a good situation, and should push those answering to cut you some slack on the one month "bridge loan" from your own savings.
Edit - OP add 2 key points, His EF is 3 years expenses (wow, kudos to him!), but he's living like a student (i.e. with parents, which keeps his costs low). If this latter observation seems judgmental, I'll re-edit. The finances of everyone would be far better off if we adopted multigenerational living. The young could save as Fahad is doing, and when parents retire, they can know they are cared for. In the US, I'd say "when you move out, your expenses will go up drastically," but in this case, that may not happen, or not soon. This is my observation the world is a big place and our answers need to fit the OP's situation, not assume our own standards apply to all.
Buy the better car. You saved. You earned it.