Yes, you can enter the EIN in your Schedule C business under 'Your Service Income Info', the 'Payments and identification'. Both 1099s belong to your business so the important action is to include all of the income on your Schedule C business. You can enter the 1099-NEC itself, or you can simply include the income 'Other self-employment income...'.
- Search (upper right magnifier) > Type Schedule C > Use the Jump to... link > Edit beside your business > Scroll to 'Business Summary' > Select 'Your Service Info'

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