No, if you open your hood, you will see that the design essentially has a built-in overfill valve. It takes about 3 gallons of washer fluid as I completely used it up on a long road trip and filled it up when I got home with 3x 1 gallon jugs.
This is a common issue and equally common response from BMW service departments in the UK. It is true that some “inferior” products can emulsify or get a syrupy consistency over time, especially if mixed with competitors products. That can clog the washer bottle.Just had my IX into BMW dealer as windscreen wash had stopped coming out of wiper blades. Dealer found that the reservoir washer bottle was blocked and washer fluid congealed due to incorrect mix. Was told this is not covered under warranty but they fixed it as a goodwill gesture. Had my IX a year and have always used supermarket pre-mixed windscreen wash. Told must use BMW washer fluid. Can't see anything about this in user manual and never had a problem with any other car I've owned when using supermarket pre-mix.
I had the same problem earlier this year on my M5, although that was after a couple of years of using some Halfords screen wash (that itself was probably a few years old). That clean out was at my cost, so lesson learnt...Just had my IX into BMW dealer as windscreen wash had stopped coming out of wiper blades. Dealer found that the reservoir washer bottle was blocked and washer fluid congealed due to incorrect mix. Was told this is not covered under warranty but they fixed it as a goodwill gesture. Had my IX a year and have always used supermarket pre-mixed windscreen wash. Told must use BMW washer fluid. Can't see anything about this in user manual and never had a problem with any other car I've owned when using supermarket pre-mix.