How to balance IBD as a possible choice for a Software Engineer career changer?

Current situation - 25yo, UK-based, almost 3 years of experience software engineer at a BB bank Markets technology team.

What I would possibly explore to change - Strategy Consulting, IBD and other finance careers, tech PM.

Current offer that I will take (to switch from software dev) - Top 3 USA BB bank tech product manager for again a Markets Technology team.

Recruitment is split into two categories that can be advanced simultaneously - 1. corporate, 2. advisory

1. Corporate - the biggest problem with my current background and the stuff I want to target is I have no commercial/business side experience. Without MBA/Masters lateral changes that expose me to the business side can be tech PM and tech sales. This might open doors to SnT directly front office recruitment. And whilst recruiting for advisory I can look for better tech PM brands (in case I want to leave finance domain). 

2. Advisory - Strategy Consulting, IBD, SnT, Asset Mgmt, PE, HF, VC

Bundling VC, PE, HF as impossible right now as all of them require specific background with PE being locked to Bankers/Stepping stones, HF being locked to SnT/Asset Mgmt/IBD guys.

I will also assume that I have good chances to recruit into SnT through networking from the tech PM job in SnT.

The rest like Strategy Consulting, IBD, Asset mgmt, they recruit like this

- Graduate -> I am too out of uni to be considered.
- Free-floating analyst or Associate -> Require experience and competing with people with much more relevant experience (stepping stones like Big 4 Transactional Services or Corporate Banking)

Should I try to somehow get into a free-floating analyst / associate in Big 4 Transactional services or Corporate Banking as a stepping stone to IBD? feels like I am locked out o

Now onto MBA vs reset with non-business Masters:

MBA:

- Literally no schools to do it here unless I settle for Imperial, Oxbridge etc
- More natural for my timeline
- Possibly better for PM, Consulting and VC
- Can still recruit for some IBD in case I want to try that at some time

non-business Masters like Masters in Management, Masters in Finance:

- Much cheaper, there are top schools for (LSE, Oxford)
- It makes me eligible for Graduate Schemes where it is easiest to recruit at for Consulting and especially IBD and Asset Management (even possible out of uni roles in PE).
- At earliest possible entry into a non-business Masters I will have 4 years of experience. I am happy to throw this experience away and start from the bottom (if it gets me strategy consulting or a front office finance role) but not sure how employers will react when they see that strange thing. Some of them might even push me and pigeonhole me onto experienced stuff even though that previous experience is irrelevant (but just because I have some experience).

Gotta probably also narrow down because recruiting for all would be a nightmare. Thanks in advance!