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I have used perma-white for bathrooms and it's great in terms of application and can be tinted, with less variety than Dulux etc. I can't speak to its effectiveness but Zinsser claim its scrubable so even if mould does start to build up it can be got rid of.
Watertite is an oil based waterproofing paint. It's really designed to be used on basement (or other) walls where penetrating moisture is an issue.
I suppose you could use it but this
Watertite® Waterproofing Paint has a unique solvent based formula that combines a state-of-the-art waterproofing resin with Portland cement to create a coating that stops up to 34psi of water pressure.
Makes me think that it would be somewhat problematic to redecorate should the desire take you down the line.
If you have an issue with black mould in your bathroom this would probably cover it up at the very least but it seems a bit extreme and as a specialist paint will likely be expensive.
TLDR I'd stick with perma-white
I'm not an expert when it comes to painting but since the decorator I used to sub out work to has retired I have been badly let down by everyone else I've got in to do the work so have had to take it on myself. Based on recommendations from @Airhead (who knows much more about painting and decorating than myself) I've started using Zinsser paint and would need a very good reason to change now. All of their products that I've used go on easily and allow you to get a really good finish with little effort (no messing about slacking paint off etc). I've been so impressed that I've almost enjoyed doing painting work (in the past I've turned into a bear with a sore head every time ive had to pick up a paintbrush).
Zinsser make 2 products that look like they would do the job:
Perma-white an interior grade paint that has fungicidal properties (it can also be tinted so colour matched). I've used this recently on a bathroom renovation where there had previously been problems with water leaks and poor ventilation (an extractor fan that hadn't worked for at least 5 years) it went on easily, covered up residual stains from the mould well after treatment.
Watertite a mould and mildew proof water proof paint for basements. I've not used this but given how good their other products are have no reason to doubt it won't be good. Their website recommends it for basements etc. (your photo looks like a basement - if it's not I would recommend that you identify and address the source of the damp before painting anything)
Edit also what grumpy git says re removal and treatment. If there are kids/pets about t-tree oil diluted in water and sprayed on the wall works well in my experience.