In writing - hao3 zhu3 yi4 In speaking - hao2 zhu3 yi4

hao3zhu2yi4, definitely.

when you see more than two 3rd tones put together. and the tone will become 2nd, pronunciation easier. for instance, 你好可爱 Nǐ hǎo kě'ài ( you are so cute) in typing: 3 3 3 4 in oral speaking: 2 2 3 4 我3也3想3你3 Wǒ yě xiǎng nǐ ( I miss you, too) in oral speaking: 2 2 2 1 ex: in typing:我3也3想3绑3好3你3喜3欢1的... Wǒ yě xiǎng bǎng hǎo nǐ xǐ huān de... in oral speaking:我2也2想2or.3 绑2好3, 你2喜3欢1的0...

I am "hao2zhu3yi4" or "hao2.5 zhu3yi4" haha the 2.5

Although the correct intonation for the three words when separately used are hǎo zhǔ yì, or the 3rd 3rd 4th sound respectively, in everyday talks I would pronunciate it as haǒ zhú yì which means that the second character's sound would change from the 3rd sound to the 2nd sound.