Weird

i before e except after c

or when sounded as 'a' as in neighbor and weigh

Nice try, but it's still full of exceptions. To make the above jingle accurate, it'd need to be something like:

I before e, except after c

Or when sounded as 'a' as in 'neighbor' and 'weigh'

Unless the 'c' is part of a 'sh' sound as in 'glacier'

Or it appears in comparatives and superlatives like 'fancier'

And also except when the vowels are sounded as 'e' as in 'seize'

Or 'i' as in 'height'

Or also in '-ing' inflections ending in '-e' as in 'cueing'

Or in compound words as in 'albeit'

Or occasionally in technical words with strong etymological links to their parent languages as in 'cuneiform'

Or in other numerous and random exceptions such as 'science', 'forfeit', and 'weird'.

source: https://www.merriam-webster.com/words-at-play/i-before-e-except-after-c

Weird has a weird spelling. It's not only fails the rule, it fails the exceptions.