ROT13 and upside-down text (flip text)

Question

When I saw this title in the Hot Network Questions I thought it was going to be a PPCG challenge. I was a little disappointed when it was on Mathematica.

So now it is on PPCG:

Challenge

Given an input string, output the ROT13, flipped value. The input will contain characters from the following alphabet: [abcdefghijklmnopqrstuvwxyz <flipped alphabet>]¹

The flipped alphabet can be anything visually similar to the flipped lowercase Latin alphabet so long as it can be accepted as input.

The space character should remain unchanged.

As an example, your flipped alphabet might be zʎxʍʌnʇsɹbdouɯlʞɾᴉɥƃɟǝpɔqɐ

Example

Input:    caesar woz ere
Rot13:    pnrfne jbm rer
Output:   ɹǝɹ ɯqɾ ǝuɟɹud

Input:    ɹǝɹ ɯqɾ ǝuɟɹud
Rot13:    pnrfne jbm rer
Output:   caesar woz ere

Scoring

Simple code-golf, the lowest number of bytes wins.

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I think this is different enough to the proposed duplicate for a few reasons:

• The answerer has the choice of which characters to use as output (within limits)
• The process should be reversible. i.e. flipped text should be acceptable as input and return "normal" text.
• There is the opportunity for graphical solutions in this question.

Answer 1

Mathematica, 234 bytes

T=ToExpression;B=Characters;L=T@CharacterRange["a","z"];K=T@B@"uodbɹsʇnʌʍxʎzɐqɔpǝɟƃɥᴉɾʞlɯ";(If[Max@ToCharacterCode@#<123,A=L;F=K,A=K;F=L];S=Association@Table[ToRules[A[[Z]]==F[[Z]]],{Z,Length@L}];Row@Reverse@T@B@#/.S)&

Answer 2

Python 3, 120 bytes

many bytes saved thanks to @JonathanAllan

lambda s,a='abcdefghijklmnopqrstuvwxyz VOďƄɹ5ʇη^MXʎ2ɐʠ>Pəɟ6ɥ!ɾʞ|W ':''.join(a[(a.find(c)+27)%54]for c in s)

Try it online!