You don't need a tri bike.
For the avoidance of doubt... You do not need a tri bike
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Most important is to get a road bike that fits you and is comfortable, which probably means paying over the odds to buy it from a real shop (rather than ebay/online) that has selling bikes as its core business (rather than Halfords). Some people will say "professional bike fit from your local bike shop", but my experience is that unless you go very top-end, they tell you no more than the numpties in Halfords and Ribble Cycles, so I'm not convinced that £70-£150 of your meagre budget's going to be well spent on one of those. At that price you should be able to get carbon forks, but you're not going to get a full carbon bike.