Should I take bupropion and escitalopram at the same time?

Before you take anything, did you tell your new doctor you were already on an antidepressant? If you did not, contact him/her and inform him/her, and take it from there.

Major interaction between both drug, meaning:

Major Highly clinically significant. Avoid combinations; the risk of the interaction outweighs the benefit.

Interactions between your drugs
Major
buPROPion escitalopram
Applies to: bupropion, escitalopram

Talk to your doctor before using buPROPion together with escitalopram. Combining these medications may increase the risk of seizures, which may occur rarely with either medication. In addition, buPROPion can increase the blood levels of escitalopram, which may increase other side effects. You may be more likely to experience seizures with these medications if you are elderly, undergoing alcohol or drug withdrawal, have a history of seizures, or have a condition affecting the central nervous system such as a brain tumor or head trauma. Your doctor may be able to prescribe alternatives that do not interact, or you may need a dose adjustment or more frequent monitoring by your doctor to safely use both medications. You should avoid or limit the use of alcohol during treatment. It is important to tell your doctor about all other medications you use, including vitamins and herbs. Do not stop using any medications without first talking to your doctor.

Then there are 4 moderate Drug and food/lifestyle interactions, meaning:

Moderate Moderately clinically significant. Usually avoid combinations; use it only under special circumstances.

Source and more detailed information:
https://www.drugs.com/interactions-check.php?drug_list=440-0,1013-0