Did you actually file the original wrong return? Was it Accepted? When you efile you get back 2 emails. The first email only confirms the transmission. The second email says if the IRS (or state) Accepted or Rejected your efile.
When you log into your account you should also see the status and if it was Accepted or Rejected, Started, Printed, Ready to Mail, etc. What does it say?
Only the IRS or state can tell you when you will get your refund. If your return is Accepted then check IRS Where’s my Refund?
https://www.irs.gov/refunds
You should wait to amend until you get the first refund. The IRS should catch the mistake and subtract it from estimated payments for you. So wait and see what the IRS does and what they send you. You might not need to amend. If they do send you the full $4598 then you owe back the $2468 on the amended return. Your real refund should be $2130.
The amended return will only be the difference you get back or need to pay. You can confirm this by printing your amendment and looking at the 1040X. Line 18 should be your original refund amount and line 21 should be your additional refund. If you paid on your original return it will be on line 16 (but don't include any penalty on 1040 line 38). If there is an amount owed with the amendment, it will be on line 20.
