Dual-Degree Engineering Program (Ivy) for MBB Recruiting

Hello. Im committed to a T20 LAC for this upcoming fall, and was wondering about how useful their dual degree engineering program would be for MBB recruiting. They offer it with Dartmouth and Columbia, and i've attached some details below.

Dartmouth:

• Is a five-year program in a 2/1/1/1 format. Two years at LAC to start, then alternate years between schools
• Graduate with a B.A. from my home institution and a B.E. from Dartmouth

Columbia (3+2):

• 3 years at LAC, followed by two years at Columbia to complete the program
• Graduate with a B.A. from home institution and a B.S. in engineering from Columbia

My main question is would having the Ivy name on my resume meaningfully improve my chances for breaking into MBB? Or is the brand value not worth the extra year, especially since I'd only be getting an undergrad engineering degree rather than a grad level credential?

Also during my time when ill be studying at the Ivy institution, would i get access to the resources (OCR, clubs, alumni network, etc) like the students already there, or would i just simply not be there long enough to access that stuff.

Appreciate any thoughts.