I don't know what your problem is, but the answer from stackoverflow explains your case. I might be harsh, but we won't write your code. So either your post your code (if you have) or ask more specific questions about the answer from stackoverflow.

I explained my problem above to the best of my ability; a more elaborate description is on StackOverflow, as I mentioned. I am not asking for any code, I would if I knew what specifically had to be done. Rather, I am asking for an insight into standard practices or approaches when dealing with Vue.js & Laravel in an SPA. So your remark is irrelevant here, and if you happen to have no expertise on the topic, maybe you should abstain from commenting? Sorry, but your commentary here was not very useful to say the least.