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Mode length of a sentence

The task is simple. You are given a string with alphabetical words (say "Hello world, this are tests"). You have to return the mode of the lengths of words in the string. In this case, output is 5, as it's the most often length of words in the string.

Definition of an alphabetical word (for this challenge): a string that consists of a-zA-Z only.

Sample I/O:

Constraints: Input has atleast one word, and a unique mode. Max. length is provided in last test case. Also, the string would be a single line, no newline chars.

(In = Out format)

"Hello world, this are tests"                     =  5
"Hello    world, this... are tests"               =  5
"I"                                               =  1
"Let's box (ง︡'-'︠)ง"                               =  3
"Writing some ✍(◔◡◔) program"                   =  7
"the-the-the-then"                                =  3
"Gooooooooogle is an app"                         =  2
"()<>a+/sentence$#@(@with::many---_symbols{}|~~"  =  4
"anot_her test actually"                          =  4

_{The unicode tests are optional.}

1000 words string = 5 (Password: PXuCdMj5u65vwst)

This is a code-golf, so fewest bytes will win!

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Correct minor typos or mistakes
Clarify meaning without changing it
Add related resources or links
Always respect the author’s intent
Don’t use edits to reply to the author

create code fences with backticks ` or tildes ~
```
like so
```
add language identifier to highlight code
```python
def function(foo):
print(foo)
```
put returns between paragraphs
for linebreak add 2 spaces at end
_italic_ or **bold**
indent code by 4 spaces
backtick escapes `like _so_`
quote by placing > at start of line
to make links (use https whenever possible)

<https://example.com>

[example](https://example.com)

<a href="/api/flow.js?q=https%3A%2F%2Fexample.com">example</a>
MathJax equations \$\sin^2 \theta\$

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