You solve it in the loan documents, not the operating agreement. Three mechanisms show up, and which one you get depends entirely on the lender.
The cleanest is a pre-approved replacement manager. You name a substitute property manager and a substitute managing member at closing, the lender diligences them then, and the loan documents permit the swap on notice rather than on consent, usually conditioned on the replacement meeting stated net worth and liquidity tests and on no monetary default existing. Getting that at closing costs you almost nothing. Getting it in year two costs a consent fee and a negotiation you'll lose.
Second, you qualify yourself as a permitted transferee, so your affiliate can step into the managing member seat if defined trigger events occur. Lenders push back where the equity partner has no operating history in the asset type, which is worth knowing before you ask.
Third, and this is what actually unblocks lenders, you address the guaranty. If removal strips the credit support, the lender will never consent. So either you become the replacement guarantor on removal, or the operator's guaranty survives with an indemnity from the venture, or you post a letter of credit sized to the completion obligation. Pricing and appetite on all of this vary by lender and by loan program, so get it in writing in the term sheet rather than relying on what the originator says on a call.
The part that gets underweighted: a real removal right still costs money to use. A replacement manager wants a market fee and its own promote, the existing management agreement may carry a termination fee, and if there's a franchise or brand agreement it may have its own approval process. Budget for a mid-project transition rather than assuming the right is free once you have it. And how far you can step into operations without changing your own liability position is a state law question for your counsel, since it turns on the entity and where it's formed.