Creating and using dynamic variables based on a dynamic component

I have a table as a component, and now I am trying to build a column wise search within it.The table that will be created will have a dynamic number of columns. Hence I need to create multiple variables for binding with the search input. I was trying to create those variables with eval (unsuccessfully, because I cannot use eval with svelte functionalities like writable or $:).

Note: the main restrictions I have are,

1. the the dynamic variable has to be declared as writable('')
2. create columns has to be in a function (as I have to recreate them for other conditions), but the search columns needs to be outside the function, as it will be used across the page
3. the number of total columns and the number of searchable columns are dynamic
4. the full functionality is much more huge and complex, hence shared a small part of it, where I need some support

Note: Doing first time front end development, coming from Mainframes backend dev.

I have tried to replicate my scenario in the below repl (not working.. but you will get gist):https://svelte.dev/repl/42335b2b121a402da1c5cd6c826bb5df?version=4.2.19

Expectation:Need the value from any of those inputs to $searchColumn and the corresponding column value. Based on this I will use it to perform next set of tasks. Please see a working version of the scenario but with static defined variables:https://svelte.dev/repl/fa3bd4c83d53421ea0eb3ae5936b401c?version=4.2.19