Rare find!!

Old handmade dish (sculptured and painted). 

Look closely at paint job done on plate. Kind of sloppily done (painted outside the lines). But that also shows personality and structure of the individual maker of the plate! 

There does not appear to be a specific tradition known as "Albadri craftsmanship". The name "Albadri" most likely refers to a particular artisan, merchant, or is a modern trade name associated with a style of metalwork. The item described—a handmade steel dish with inlaid brass and Arabic engraving—is an example of a broader, historic tradition of inlaid metalwork from the Middle East, often called damascene or koftgari work. 

This kind of craftsmanship is also famously practiced in India, where it is known as Bidriware. It is highly possible that the item you're asking about is an example of this Bidri craft or a related Middle Eastern form. 

Key characteristics of this craftsmanship.

The koftgari/damascene technique:

The base metal, often a soft iron or steel, is cross-hatched with fine, parallel chisel cuts.

Thinner, more pliable brass, silver, or copper wires are laid into these cross-hatched cuts.

The wires are then hammered down, causing the softer inlay metal to flatten and lock firmly into the base metal.

Finally, the piece is polished to reveal the inlaid designs in high contrast with the darkened base metal. 

Bidriware from India:

The most famous example of this technique is Bidriware, which originated in the 14th century in Bidar, India, and was heavily influenced by Persian art. 

Unique process: Bidriware uses a special blackened zinc-copper alloy as the base.

Distinct finish: After the silver or brass inlay is complete, the object is patinated by boiling it in a mixture of water and a specific type of soil found near the Bidar Fort. This process oxidizes the alloy, turning it a matte black, while the inlay remains silvery or golden. 

Arabic and Islamic motifs.

The engraved designs on such plates often include:

Arabic calligraphy

Geometric and floral arabesque patterns

Figurative representations like animals or people 

In summary, while "Albadri" is not a recognized craft tradition, the item it describes is an antique example of a classic and intricate style of inlaid metalwork. To learn more about its specific origins, you would need to find additional information, such as an artisan's stamp or merchant mark, or analyze the design motifs for clues about its region of origin.