What "logic"? That China has the strategic requirement for the world's largest navy? Says who? That China has the industrial/financial capacity to continue building 3 large destroyers every year? Says who? The US is bankrupting itself nonstop every year in order to maintain its current military, and you wish the Chinese military to be as foolhardy and rush head-first into bankruptcy as well? Good thinking. You're making vague, unsubstantiated, unverifiable claims that are akin to "China needs 2 zillion ships because it will be just so awesome".
No, China has concrete national security objectives that it achieves by having a bigger navy.
World's largest trading nation and has territorial disputes in the Western Pacific. China can't rely on the US Navy to protect freedom of navigation for this trade, most of which flows through the south china seas. Plus it would be useful if the US Navy was hesitant to operate in the Western Pacific, knowing that they faced a larger opponent.
China is the world's largest manufacturing nation, fact. China already the world's largest economy in terms of actual output, as per the IMF. China is also the world's largest civilian shipbuilder and has excess capacity, fact. So does China lack the capacity to build 3 type 55 every year? That is obit matching the US build level.
Remember that China is only spending 2% of GDP on the military, as per SIPRI for some decades now. And that is what I'm basing my future estimates on.
That is slightly less than the UK or France. The US and Russia routinely spent twice as much (4%) in the past decade.
So 60x Type-55 over the next 20 years should be affordable and definitely will not bankrupt China