Showing chosen [name] when replaying labels?

[Adrian_DVL]

So, I have a replay system in my game (NOT gallery) that player can access through a screen in-game (NOT in the main menu), like this:

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if leah_sc1:
        imagebutton idle "girls/heart_i.png" hover "girls/heart_h.png" xpos 906 ypos 660 hovered tt.Action("Morning exercises") action Replay("library1c")

This works perfectly fine, but there's a problem with the name of the player. I let chose the name of the player when game starts, with this label:

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label name:
    $ name = renpy.input("{color=#d2e38f}What was my name...?{/color}")
    $ name = name.strip()
    if name == "":
        $ name = "Dan"
    return

But this way, a story label works fine, but when I replay that label, every time [name] appears in the dialogue, I got a crash.
So I defaulted the 'name' variable, like this:

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default name = "Dan"

Now it works fine, without crashing, but the game translates [name] as 'Dan' when replaying a label, and not as the name chosen by the player.
So, anyone knows how I can do to get the name that players chose when replaying a label instead of the default one?