der Freiraum
freedom
The possibility and freedom to make your own decisions and act according to your own ideas.
Der neue Job bietet mir mehr kreativen Freiraum als der alte.
The new job gives me more creative freedom than the old one.

freedom / open space
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freedom
The possibility and freedom to make your own decisions and act according to your own ideas.
Der neue Job bietet mir mehr kreativen Freiraum als der alte.
The new job gives me more creative freedom than the old one.

The word is made up of the adjective 'frei' (free) and the noun 'der Raum' (space/room). The literal meaning 'free space' is the basis for both main meanings of the word.
Die neue Stadtplanung schafft mehr Freiraum für Fußgänger.
The new urban planning creates more open space for pedestrians.
You can tell from context whether the physical or figurative 'Freiraum' (freedom/open space) is meant. If the topic is urban planning or architecture, it refers to physical space. If the topic is creativity or relationships, it refers to personal freedom.
Zwischen den Häusern gibt es einen großen Freiraum zum Spielen.
Between the houses there is a large open space for playing.
In the figurative meaning, 'Freiraum' (freedom) is often used with verbs like 'brauchen' (to need), 'geben' (to give), 'lassen' (to leave/allow), or 'schaffen' (to create). It is about the possibility to develop personally or creatively.
Künstler brauchen kreativen Freiraum, um neue Ideen zu entwickeln.
Artists need creative freedom to develop new ideas.
When referring to physical, undeveloped areas, the plural 'Freiräume' (open spaces) is often used, especially in the context of urban planning. This refers to several open areas.
Die Stadt investiert in die Schaffung neuer Freiräume für die Bürger.
The city is investing in the creation of new open spaces for its citizens.
air
'die Luft' and 'der Freiraum' can both mean that space is available. 'Luft' is often used for a concrete gap or space, for example between furniture or when moving around. 'Freiraum' can mean an open space, but also personal freedom, meaning time and the possibility to decide for yourself. That is why the words can be confused when speaking generally about 'space'. 'Luft' sounds more natural for tight or open physical space. 'Freiraum' fits better when it is about freedom in life, at work, or in urban planning.

Ich brauche am Wochenende Freiraum für meine eigenen Pläne.
I need some freedom on the weekend for my own plans.
Lass bitte etwas Luft zwischen den Stühlen, damit man gut durchkommt.
Please leave some space between the chairs so people can get through easily.