gedeckt
set
Refers to a table that has been prepared for a meal, with dishes, cutlery, and glasses.
Als die Gäste kamen, war der Tisch schon festlich gedeckt.
When the guests arrived, the table was already festively set.

set / muted / covered
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set
Refers to a table that has been prepared for a meal, with dishes, cutlery, and glasses.
Als die Gäste kamen, war der Tisch schon festlich gedeckt.
When the guests arrived, the table was already festively set.

'Gedeckt' (covered/set/muted) is the past participle of the verb 'decken' (to cover / to set the table). All meanings of 'gedeckt' come from the basic meaning of 'to cover something with something' or 'to secure something.'
Die Mutter deckt ihr schlafendes Kind mit einer Decke zu.
The mother covers her sleeping child with a blanket.
You can always recognize the exact meaning of 'gedeckt' (covered/set/muted) from the noun it describes. A 'gedeckter Tisch' (set table) is something different from 'gedeckte Farben' (muted colors) or 'gedeckte Kosten' (covered costs).
Der Himmel ist gedeckt, es wird wohl bald regnen.
The sky is overcast; it will probably rain soon.
The state 'der Tisch ist gedeckt' (the table is set) is the result of the action 'den Tisch decken' (to set the table). This connection between an active sentence and a description of a state is very typical.
Wer hilft mir, den Tisch für das Abendessen zu decken?
Who will help me set the table for dinner?
The combination 'gedeckte Farben' (muted colors) is a fixed collocation. It describes unobtrusive, non-bright shades such as gray, beige, navy blue, or olive green.
Im Herbst trage ich gerne Pullover in gedeckten Farben.
In autumn, I like wearing sweaters in muted colors.
When costs are 'gedeckt' (covered), the source of financing is often introduced with the preposition 'durch' (by/through). So the structure is: costs are covered 'durch' (by) something.
Der Schaden am Auto war zum Glück komplett durch die Vollkaskoversicherung gedeckt.
Fortunately, the damage to the car was completely covered by the comprehensive insurance.
When a roof is 'gedeckt' (roofed/covered), the material used is named with the preposition 'mit' (with). The structure is: Das Dach ist 'mit' etwas gedeckt (The roof is covered with something).
Das Haus ist traditionell mit roten Ziegeln gedeckt.
The house is traditionally roofed with red tiles.
clear
'klar' and 'gedeckt' can form opposites when talking about the sky. A clear sky seems open and transparent; visibility is good and there are hardly any clouds. An overcast sky, by contrast, is gray and completely covered with clouds. So 'klar' fits bright, open weather, while 'gedeckt' is more likely to describe a dull, cloudy sky.

Am Nachmittag bleibt der Himmel gedeckt, deshalb nehmen wir Jacken mit.
In the afternoon, the sky stays overcast, so we take jackets with us.
Am Morgen ist der Himmel klar, und man kann die Berge sehen.
In the morning, the sky is clear, and you can see the mountains.