An employee with a W2 even with 4029 is considered earned income for EIC. from pub 596:

Form 4029. Whether or not you have an approved Form
4029, all wages, salaries, tips, and other taxable employee compensation count as earned income. However,
amounts you received as a self-employed individual don't
count as earned income. Also, in figuring earned income,
don't subtract losses on Schedule C or F from wages on
line 1 of Form 1040 and 1040-SR.

link to pub 596: https://www.irs.gov/pub/irs-pdf/p596.pdf