I’m not sure exactly what you’re asking… if it’s just can you borrow £150K on £33K, then a broker will answer that accurately for you than MN. And you already have a broker friend saying yes.
So are you asking should you? Over 30 years that’s about £700 a month, so about a third of take home, right?
But we don’t know your outgoings - high travel, loans… so that has a bearing.
”South East” may mean you have more job opportunities.
Do you have a role where you can expect to increase that £33K?
Do you have your legal fees covered out with the £30K deposit? Otherwise, you need to borrow more.
Also depends on housing now - paying that much in rent, then do it. Living cheaply and happily at home and can save for longer? Wait.
My gut feel is yes you can/should do it but then you’ll need to really focus on increasing your salary whilst also building up savings buffer again - no big holidays for a while! But
there’s so much unsaid - so who knows?!